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Finding the Fourth Proportional to 215.44, 320.57 and 214.72

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Solution

The fourth proportional to 215.44, 320.57 and 214.72 is: 319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.44 : 320.57 = 214.72 : x
  2. Step 2: Convert to fraction form
    215.44/320.57 = 214.72/x
  3. Step 3: Cross multiply
    215.44x = 320.57 × 214.72
  4. Step 4: Simplify right side
    215.44x = 68,832.79
  5. Step 5: Solve for x
    x = 68,832.79/215.44
  6. Step 6: Final answer
    x = 319.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.